LMFDB - L-function search results

Refine search

Lowest zero	Conductor	Analytic conductor	Central character	Analytic rank

Degree	Bad $p$	Root analytic conductor	Motivic weight	Spectral label

Root angle	Primitive	Origin	Exclude origin	Self-dual

Arithmetic

		Sort order	Select

Results (1-50 of 108 matches)

Next Download displayed columns for results to

Label	$\alpha$	$A$	$d$	$N$	$\chi$	$\mu$	prim	arith	$\operatorname{Arg}(\epsilon)$	$r$	First zero	Origin
1-1620-1620.1003-r0-0-0	$7.52$	$7.52$	$1$	$2^{2} \cdot 3^{4} \cdot 5$	1620.1003	$0$	✓	✓	$0.183$	$0$	$1.15760$	Character $\chi_{1620}(1003, \cdot)$
1-1620-1620.1019-r0-0-0	$7.52$	$7.52$	$1$	$2^{2} \cdot 3^{4} \cdot 5$	1620.1019	$0$	✓	✓	$-0.0216$	$0$	$0.800014$	Character $\chi_{1620}(1019, \cdot)$
1-1620-1620.103-r0-0-0	$7.52$	$7.52$	$1$	$2^{2} \cdot 3^{4} \cdot 5$	1620.103	$0$	✓	✓	$-0.372$	$0$	$0.104420$	Character $\chi_{1620}(103, \cdot)$
1-1620-1620.1087-r0-0-0	$7.52$	$7.52$	$1$	$2^{2} \cdot 3^{4} \cdot 5$	1620.1087	$0$	✓	✓	$-0.183$	$0$	$0.723839$	Character $\chi_{1620}(1087, \cdot)$
1-1620-1620.1123-r0-0-0	$7.52$	$7.52$	$1$	$2^{2} \cdot 3^{4} \cdot 5$	1620.1123	$0$	✓	✓	$0.195$	$0$	$1.33429$	Character $\chi_{1620}(1123, \cdot)$
1-1620-1620.1139-r0-0-0	$7.52$	$7.52$	$1$	$2^{2} \cdot 3^{4} \cdot 5$	1620.1139	$0$	✓	✓	$-0.200$	$0$	$0.697538$	Character $\chi_{1620}(1139, \cdot)$
1-1620-1620.1147-r0-0-0	$7.52$	$7.52$	$1$	$2^{2} \cdot 3^{4} \cdot 5$	1620.1147	$0$	✓	✓	$0.137$	$0$	$1.12898$	Character $\chi_{1620}(1147, \cdot)$
1-1620-1620.1183-r0-0-0	$7.52$	$7.52$	$1$	$2^{2} \cdot 3^{4} \cdot 5$	1620.1183	$0$	✓	✓	$0.294$	$0$	$1.35711$	Character $\chi_{1620}(1183, \cdot)$
1-1620-1620.119-r0-0-0	$7.52$	$7.52$	$1$	$2^{2} \cdot 3^{4} \cdot 5$	1620.119	$0$	✓	✓	$-0.132$	$0$	$0.503416$	Character $\chi_{1620}(119, \cdot)$
1-1620-1620.1199-r0-0-0	$7.52$	$7.52$	$1$	$2^{2} \cdot 3^{4} \cdot 5$	1620.1199	$0$	✓	✓	$0.200$	$0$	$1.30852$	Character $\chi_{1620}(1199, \cdot)$
1-1620-1620.1267-r0-0-0	$7.52$	$7.52$	$1$	$2^{2} \cdot 3^{4} \cdot 5$	1620.1267	$0$	✓	✓	$0.0387$	$0$	$0.970159$	Character $\chi_{1620}(1267, \cdot)$
1-1620-1620.1303-r0-0-0	$7.52$	$7.52$	$1$	$2^{2} \cdot 3^{4} \cdot 5$	1620.1303	$0$	✓	✓	$0.306$	$0$	$1.33856$	Character $\chi_{1620}(1303, \cdot)$
1-1620-1620.1319-r0-0-0	$7.52$	$7.52$	$1$	$2^{2} \cdot 3^{4} \cdot 5$	1620.1319	$0$	✓	✓	$0.354$	$0$	$1.63851$	Character $\chi_{1620}(1319, \cdot)$
1-1620-1620.1327-r0-0-0	$7.52$	$7.52$	$1$	$2^{2} \cdot 3^{4} \cdot 5$	1620.1327	$0$	✓	✓	$0.359$	$0$	$1.18112$	Character $\chi_{1620}(1327, \cdot)$
1-1620-1620.1363-r0-0-0	$7.52$	$7.52$	$1$	$2^{2} \cdot 3^{4} \cdot 5$	1620.1363	$0$	✓	✓	$-0.0387$	$0$	$0.719387$	Character $\chi_{1620}(1363, \cdot)$
1-1620-1620.1379-r0-0-0	$7.52$	$7.52$	$1$	$2^{2} \cdot 3^{4} \cdot 5$	1620.1379	$0$	✓	✓	$0.200$	$0$	$1.03640$	Character $\chi_{1620}(1379, \cdot)$
1-1620-1620.1447-r0-0-0	$7.52$	$7.52$	$1$	$2^{2} \cdot 3^{4} \cdot 5$	1620.1447	$0$	✓	✓	$0.372$	$0$	$1.19203$	Character $\chi_{1620}(1447, \cdot)$
1-1620-1620.1483-r0-0-0	$7.52$	$7.52$	$1$	$2^{2} \cdot 3^{4} \cdot 5$	1620.1483	$0$	✓	✓	$-0.137$	$0$	$0.765370$	Character $\chi_{1620}(1483, \cdot)$
1-1620-1620.1499-r0-0-0	$7.52$	$7.52$	$1$	$2^{2} \cdot 3^{4} \cdot 5$	1620.1499	$0$	✓	✓	$-0.200$	$0$	$0.496890$	Character $\chi_{1620}(1499, \cdot)$
1-1620-1620.1507-r0-0-0	$7.52$	$7.52$	$1$	$2^{2} \cdot 3^{4} \cdot 5$	1620.1507	$0$	✓	✓	$0.470$	$0$	$1.58864$	Character $\chi_{1620}(1507, \cdot)$
1-1620-1620.1543-r0-0-0	$7.52$	$7.52$	$1$	$2^{2} \cdot 3^{4} \cdot 5$	1620.1543	$0$	✓	✓	$-0.149$	$0$	$0.765811$	Character $\chi_{1620}(1543, \cdot)$
1-1620-1620.1559-r0-0-0	$7.52$	$7.52$	$1$	$2^{2} \cdot 3^{4} \cdot 5$	1620.1559	$0$	✓	✓	$0.311$	$0$	$1.12785$	Character $\chi_{1620}(1559, \cdot)$
1-1620-1620.187-r0-0-0	$7.52$	$7.52$	$1$	$2^{2} \cdot 3^{4} \cdot 5$	1620.187	$0$	✓	✓	$0.0387$	$0$	$0.665596$	Character $\chi_{1620}(187, \cdot)$
1-1620-1620.223-r0-0-0	$7.52$	$7.52$	$1$	$2^{2} \cdot 3^{4} \cdot 5$	1620.223	$0$	✓	✓	$-0.0263$	$0$	$0.857852$	Character $\chi_{1620}(223, \cdot)$
1-1620-1620.239-r0-0-0	$7.52$	$7.52$	$1$	$2^{2} \cdot 3^{4} \cdot 5$	1620.239	$0$	✓	✓	$-0.311$	$0$	$0.318072$	Character $\chi_{1620}(239, \cdot)$
1-1620-1620.247-r0-0-0	$7.52$	$7.52$	$1$	$2^{2} \cdot 3^{4} \cdot 5$	1620.247	$0$	✓	✓	$0.0263$	$0$	$0.830201$	Character $\chi_{1620}(247, \cdot)$
1-1620-1620.283-r0-0-0	$7.52$	$7.52$	$1$	$2^{2} \cdot 3^{4} \cdot 5$	1620.283	$0$	✓	✓	$-0.0387$	$0$	$0.952293$	Character $\chi_{1620}(283, \cdot)$
1-1620-1620.299-r0-0-0	$7.52$	$7.52$	$1$	$2^{2} \cdot 3^{4} \cdot 5$	1620.299	$0$	✓	✓	$0.200$	$0$	$1.12406$	Character $\chi_{1620}(299, \cdot)$
1-1620-1620.367-r0-0-0	$7.52$	$7.52$	$1$	$2^{2} \cdot 3^{4} \cdot 5$	1620.367	$0$	✓	✓	$-0.294$	$0$	$0.327135$	Character $\chi_{1620}(367, \cdot)$
1-1620-1620.403-r0-0-0	$7.52$	$7.52$	$1$	$2^{2} \cdot 3^{4} \cdot 5$	1620.403	$0$	✓	✓	$-0.137$	$0$	$0.494974$	Character $\chi_{1620}(403, \cdot)$
1-1620-1620.419-r0-0-0	$7.52$	$7.52$	$1$	$2^{2} \cdot 3^{4} \cdot 5$	1620.419	$0$	✓	✓	$-0.200$	$0$	$0.562259$	Character $\chi_{1620}(419, \cdot)$
1-1620-1620.427-r0-0-0	$7.52$	$7.52$	$1$	$2^{2} \cdot 3^{4} \cdot 5$	1620.427	$0$	✓	✓	$-0.195$	$0$	$0.736598$	Character $\chi_{1620}(427, \cdot)$
1-1620-1620.43-r0-0-0	$7.52$	$7.52$	$1$	$2^{2} \cdot 3^{4} \cdot 5$	1620.43	$0$	✓	✓	$-0.470$	$0$	$0.185483$	Character $\chi_{1620}(43, \cdot)$
1-1620-1620.463-r0-0-0	$7.52$	$7.52$	$1$	$2^{2} \cdot 3^{4} \cdot 5$	1620.463	$0$	✓	✓	$-0.483$	$0$	$0.131187$	Character $\chi_{1620}(463, \cdot)$
1-1620-1620.479-r0-0-0	$7.52$	$7.52$	$1$	$2^{2} \cdot 3^{4} \cdot 5$	1620.479	$0$	✓	✓	$-0.354$	$0$	$0.496436$	Character $\chi_{1620}(479, \cdot)$
1-1620-1620.547-r0-0-0	$7.52$	$7.52$	$1$	$2^{2} \cdot 3^{4} \cdot 5$	1620.547	$0$	✓	✓	$0.149$	$0$	$1.15757$	Character $\chi_{1620}(547, \cdot)$
1-1620-1620.583-r0-0-0	$7.52$	$7.52$	$1$	$2^{2} \cdot 3^{4} \cdot 5$	1620.583	$0$	✓	✓	$-0.137$	$0$	$0.455368$	Character $\chi_{1620}(583, \cdot)$
1-1620-1620.59-r0-0-0	$7.52$	$7.52$	$1$	$2^{2} \cdot 3^{4} \cdot 5$	1620.59	$0$	✓	✓	$0.466$	$0$	$1.55036$	Character $\chi_{1620}(59, \cdot)$
1-1620-1620.599-r0-0-0	$7.52$	$7.52$	$1$	$2^{2} \cdot 3^{4} \cdot 5$	1620.599	$0$	✓	✓	$0.132$	$0$	$0.875378$	Character $\chi_{1620}(599, \cdot)$
1-1620-1620.607-r0-0-0	$7.52$	$7.52$	$1$	$2^{2} \cdot 3^{4} \cdot 5$	1620.607	$0$	✓	✓	$0.137$	$0$	$0.888906$	Character $\chi_{1620}(607, \cdot)$
1-1620-1620.643-r0-0-0	$7.52$	$7.52$	$1$	$2^{2} \cdot 3^{4} \cdot 5$	1620.643	$0$	✓	✓	$-0.0387$	$0$	$0.730783$	Character $\chi_{1620}(643, \cdot)$
1-1620-1620.659-r0-0-0	$7.52$	$7.52$	$1$	$2^{2} \cdot 3^{4} \cdot 5$	1620.659	$0$	✓	✓	$-0.466$	$0$	$0.151527$	Character $\chi_{1620}(659, \cdot)$
1-1620-1620.67-r0-0-0	$7.52$	$7.52$	$1$	$2^{2} \cdot 3^{4} \cdot 5$	1620.67	$0$	✓	✓	$0.137$	$0$	$1.23930$	Character $\chi_{1620}(67, \cdot)$
1-1620-1620.7-r0-0-0	$7.52$	$7.52$	$1$	$2^{2} \cdot 3^{4} \cdot 5$	1620.7	$0$	✓	✓	$0.483$	$0$	$1.50614$	Character $\chi_{1620}(7, \cdot)$
1-1620-1620.727-r0-0-0	$7.52$	$7.52$	$1$	$2^{2} \cdot 3^{4} \cdot 5$	1620.727	$0$	✓	✓	$0.0387$	$0$	$1.00301$	Character $\chi_{1620}(727, \cdot)$
1-1620-1620.763-r0-0-0	$7.52$	$7.52$	$1$	$2^{2} \cdot 3^{4} \cdot 5$	1620.763	$0$	✓	✓	$-0.359$	$0$	$0.113977$	Character $\chi_{1620}(763, \cdot)$
1-1620-1620.779-r0-0-0	$7.52$	$7.52$	$1$	$2^{2} \cdot 3^{4} \cdot 5$	1620.779	$0$	✓	✓	$0.0216$	$0$	$0.962216$	Character $\chi_{1620}(779, \cdot)$
1-1620-1620.787-r0-0-0	$7.52$	$7.52$	$1$	$2^{2} \cdot 3^{4} \cdot 5$	1620.787	$0$	✓	✓	$-0.306$	$0$	$0.342099$	Character $\chi_{1620}(787, \cdot)$
1-1620-1620.823-r0-0-0	$7.52$	$7.52$	$1$	$2^{2} \cdot 3^{4} \cdot 5$	1620.823	$0$	✓	✓	$-0.0387$	$0$	$0.606350$	Character $\chi_{1620}(823, \cdot)$
1-1620-1620.839-r0-0-0	$7.52$	$7.52$	$1$	$2^{2} \cdot 3^{4} \cdot 5$	1620.839	$0$	✓	✓	$0.200$	$0$	$1.28944$	Character $\chi_{1620}(839, \cdot)$

Next Download displayed columns for results to

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
Higher genus families
Abelian varieties over $\F_{q}$
Belyi maps

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Learn more

Refine search

Results (1-50 of 108 matches)

This project is supported by grants from the US National Science Foundation, the UK Engineering and Physical Sciences Research Council, and the Simons Foundation.